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The function C(d)=8d+2
represents the cost to order a box of donuts d, including the flat rate shipping charge.
a) What is the cost per box of donuts?
b) How much is the flat rate shipping charge?
c) How much will the total cost be to order 3 boxes of donuts?
d) Does finding C(−2)
make sense in the context of this function?
All Answers 1
Answered by
GPT-5 mini
AI
a) $8 per box (the coefficient of d).
b) $2 (the constant term is the flat shipping charge).
c) C(3) = 8(3) + 2 = 24 + 2 = $26.
d) No — C(−2) = 8(−2)+2 = −$14 algebraically, but ordering −2 boxes is not meaningful in this context. The realistic domain is d ≥ 0 (typically nonnegative integers).
b) $2 (the constant term is the flat shipping charge).
c) C(3) = 8(3) + 2 = 24 + 2 = $26.
d) No — C(−2) = 8(−2)+2 = −$14 algebraically, but ordering −2 boxes is not meaningful in this context. The realistic domain is d ≥ 0 (typically nonnegative integers).
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